{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "569a8c74-4024-4c53-9e8d-10cdfd6ef130",
   "metadata": {},
   "source": [
    "Chapter 15\n",
    "# 推销员问题\n",
    "Book_6《数据有道》 | 鸢尾花书：从加减乘除到机器学习"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "57278250-c46f-457d-8249-bb71cd20106e",
   "metadata": {},
   "outputs": [],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "import networkx as nx\n",
    "import networkx.algorithms.approximation as nx_app\n",
    "import math"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "5655b291-1abb-40bf-85de-4fad7791fdc7",
   "metadata": {},
   "outputs": [],
   "source": [
    "G = nx.random_geometric_graph(20, radius=0.4, seed=3)\n",
    "pos = nx.get_node_attributes(G, \"pos\")\n",
    "\n",
    "pos[0] = (0.5, 0.5)\n",
    "\n",
    "H = G.copy()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "bbbca436-29f4-4e41-86f9-4e12d74a04f0",
   "metadata": {},
   "outputs": [],
   "source": [
    "# 计算节点距离作为权重\n",
    "for i in range(len(pos)):\n",
    "    for j in range(i + 1, len(pos)):\n",
    "        \n",
    "        # 斜边\n",
    "        dist = math.hypot(pos[i][0] - pos[j][0], \n",
    "                          pos[i][1] - pos[j][1])\n",
    "        \n",
    "        G.add_edge(i, j, weight=dist)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "ff1e2f7f-e6f3-4323-b5c3-797e82985197",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "The route of the traveller is: [0, 4, 19, 12, 2, 7, 10, 18, 5, 13, 6, 11, 3, 16, 17, 15, 14, 8, 9, 1, 0]\n"
     ]
    }
   ],
   "source": [
    "cycle = nx_app.christofides(G, weight=\"weight\")\n",
    "# Christofides 算法是一种解决度量空间中推销员问题的近似算法\n",
    "edge_list = list(nx.utils.pairwise(cycle))\n",
    "print(\"The route of the traveller is:\", cycle)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "13653047-4d14-45ed-9830-96784647e627",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[(0, 4),\n",
       " (4, 19),\n",
       " (19, 12),\n",
       " (12, 2),\n",
       " (2, 7),\n",
       " (7, 10),\n",
       " (10, 18),\n",
       " (18, 5),\n",
       " (5, 13),\n",
       " (13, 6),\n",
       " (6, 11),\n",
       " (11, 3),\n",
       " (3, 16),\n",
       " (16, 17),\n",
       " (17, 15),\n",
       " (15, 14),\n",
       " (14, 8),\n",
       " (8, 9),\n",
       " (9, 1),\n",
       " (1, 0)]"
      ]
     },
     "execution_count": 5,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "edge_list"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "e76d0658-5d3a-4d30-81ad-688b652cbe6d",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 800x800 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize = (8,8))\n",
    "\n",
    "nx.draw_networkx_edges(H, \n",
    "                       pos, \n",
    "                       edge_color=\"blue\", \n",
    "                       width=0.5)\n",
    "\n",
    "\n",
    "nx.draw_networkx(G, pos, with_labels=True,\n",
    "                 edgelist=edge_list,\n",
    "                 edge_color=\"red\",\n",
    "                 node_size=200,width=3)\n",
    "\n",
    "\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "4b99c9e9-3a72-419b-86ff-9bc83181f94d",
   "metadata": {},
   "source": [
    "参考： \n",
    "https://networkx.org/documentation/stable/auto_examples/drawing/plot_tsp.html"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3 (ipykernel)",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.10.9"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}
